On 14 Mrz., 20:58, Virgil <vir...@ligriv.com> wrote:
> > Please look up what Zermelo wrote. (In Matheology § 225 you will find > > the orginal German text.) It is always possible /to choose/ an element > > from every non-empty set and to union the chosen elements into a set > > S_1. > > If that is what Zermelo said then he was wrong to say it because one > does not ever "union" elements, only sets.
Zermelo does. "Die Elemente zu einer Menge zu vereinigen". And there is no reason why anybody with some knowledge of ZFC should reject that, since in ZFC everything is a set, even the elements resulting of this choice.
Again you try to pull down the discussion to your nitpicking level in order to avoid the recognition that only countably many elements can be chosen by anybody including Gods.